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Introduction to matrix theory

Singh, Arindama.

Introduction to matrix theory

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Introduction to matrix theoryby Arindama Singh.
作者:	Singh, Arindama.
出版者:	Cham :Springer International Publishing :2021.
面頁冊數:	ix, 194 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Matrices.
電子資源:	https://doi.org/10.1007/978-3-030-80481-7
ISBN:	9783030804817

Introduction to matrix theory
Singh, Arindama.

Introduction to matrix theory[electronic resource] /by Arindama Singh. - Cham :Springer International Publishing :2021. - ix, 194 p. :ill. (some col.), digital ;24 cm.

Matrix Operations -- Systems of Linear Equations -- Matrix as a Linear Map -- Orthogonality -- Eigenvalues and Eigenvectors -- Canonical Forms -- Norms of Matrices -- Short Bibliography -- Index.

This book is designed to serve as a textbook for courses offered to undergraduate and postgraduate students enrolled in Mathematics. Using elementary row operations and Gram-Schmidt orthogonalization as basic tools the text develops characterization of equivalence and similarity, and various factorizations such as rank factorization, OR-factorization, Schurtriangularization, Diagonalization of normal matrices, Jordan decomposition, singular value decomposition, and polar decomposition. Along with Gauss-Jordan elimination for linear systems, it also discusses best approximations and least-squares solutions. The book includes norms on matrices as a means to deal with iterative solutions of linear systems and exponential of a matrix. The topics in the book are dealt with in a lively manner. Each section of the book has exercises to reinforce the concepts, and problems have been added at the end of each chapter. Most of these problems are theoretical, and they do not fit into the running text linearly. The detailed coverage and pedagogical tools make this an ideal textbook for students and researchers enrolled in senior undergraduate and beginning postgraduate mathematics courses.

ISBN: 9783030804817

Standard No.: 10.1007/978-3-030-80481-7doiSubjects--Topical Terms:

181876
Matrices.

LC Class. No.: QA188 / .S56 2021

Dewey Class. No.: 512.9434

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520 $a This book is designed to serve as a textbook for courses offered to undergraduate and postgraduate students enrolled in Mathematics. Using elementary row operations and Gram-Schmidt orthogonalization as basic tools the text develops characterization of equivalence and similarity, and various factorizations such as rank factorization, OR-factorization, Schurtriangularization, Diagonalization of normal matrices, Jordan decomposition, singular value decomposition, and polar decomposition. Along with Gauss-Jordan elimination for linear systems, it also discusses best approximations and least-squares solutions. The book includes norms on matrices as a means to deal with iterative solutions of linear systems and exponential of a matrix. The topics in the book are dealt with in a lively manner. Each section of the book has exercises to reinforce the concepts, and problems have been added at the end of each chapter. Most of these problems are theoretical, and they do not fit into the running text linearly. The detailed coverage and pedagogical tools make this an ideal textbook for students and researchers enrolled in senior undergraduate and beginning postgraduate mathematics courses.
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